1038426000 has 160 divisors (see below), whose sum is σ = 3524476800. Its totient is φ = 262310400.

The previous prime is 1038425989. The next prime is 1038426013. The reversal of 1038426000 is 6248301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109446 + ... + 118554.

It is an arithmetic number, because the mean of its divisors is an integer number (22027980).

Almost surely, 2^1038426000 is an apocalyptic number.

1038426000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762238400).

1038426000 is an abundant number, since it is smaller than the sum of its proper divisors (2486050800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1038426000 is a wasteful number, since it uses less digits than its factorization.

1038426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9154 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1038426000 is about 32224.6179186038. The cubic root of 1038426000 is about 1012.6480198167.

The spelling of 1038426000 in words is "one billion, thirty-eight million, four hundred twenty-six thousand".